Possible essay topic could be on Lie Theory, as the professor mentioned in class. Wikipedia has a decent amount of information on it.
The Kepler conjecture is pretty cool- it has to do with sphere packing and the most efficient way to pack spheres
Also a cool idea is related to maps and travel- like the fastest way to get from NY to Indonesia would be flying over Alaska- which is weird cause it seems really out of the way- basically though spherical travel is different then 2D plane (not airplane) travel. So maybe an essay on comparing how people would travel different routes if they based their travel on the round globe rather than the flat map.
Google search for some ideas: essay in geometry
Possible essay topic could be on Lie Theory, as the professor mentioned in class. Wikipedia has a decent amount of information on it.
The Kepler conjecture is pretty cool- it has to do with sphere packing and the most efficient way to pack spheres
Also a cool idea is related to maps and travel- like the fastest way to get from NY to Indonesia would be flying over Alaska- which is weird cause it seems really out of the way- basically though spherical travel is different then 2D plane (not airplane) travel. So maybe an essay on comparing how people would travel different routes if they based their travel on the round globe rather than the flat map.